拉杆转子由于加工和装配工艺误差会引入几何与接触非线性特征,针对非线性模型描述不全面、不精确的问题,结合转子动力学方法和有限元方法,首先建立转子动态平衡方程,将包含有多种接触变形因素的刚度项以未知函数来表示;提出参数化建模的方法,对转子细观结构进行参数化表达,以螺栓预紧不均匀和轮盘质量偏心夹角作为非线性接入因子和刚度函数的自变量,建立参数空间;通过有限元方法对参数空间下的转子模型进行仿真分析,建立起从细观结构特征到宏观非线性刚度特性的映射关系,得到了稳定工作状态下,拉杆转子在参数空间上的宏观位移特性以及宏观非线性刚度特性,拟合出刚度函数,建立了既体现细观结构影响,又可用于动态分析的宏观非线性动力学模型。
Aimed at the problem that nonlinear model description is not comprehensive and imprecise,com-bined with rotor dynamics method and finite element method,a rotor dynamic balance equation is built firstly,and the stiffness that contains a variety of contact deformation factors is expressed by unknown functions.A parametric modeling method is put forward.Parametric expression of meso-structure of rotor is made.Taking the bolt pro-tightening uneven and disk mass eccentricity angle as a nonlinear importing factor and an independent variable of the stiffness function,the parameter space is established.Through the simulation analysis to the rotor model in the case of parameter space based on the finite element meth-od,a mapping relation between the meso-structure characteristics and the macroscopic nonlinear stiffness characteristics is built,and macroscopic displacement characteristics and macroscopic nonlinear stiffness characteristics of rod-fastened rotor in the parameter space at the stable working are obtained.A stiffness function is fitted out.A macroscopic nonlinear dynamic model with the influence of the meso-structure is built.By doing so,this can provide a reference for rotor dynamic characteristics calculation.